106234867200 has 1920 divisors, whose sum is σ = 483214786560. Its totient is φ = 19906560000.

The previous prime is 106234867121. The next prime is 106234867237. The reversal of 106234867200 is 2768432601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×106234867200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1741555170 + ... + 1741555230.

It is an arithmetic number, because the mean of its divisors is an integer number (251674368).

Almost surely, 2^106234867200 is an apocalyptic number.

106234867200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106234867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241607393280).

106234867200 is an abundant number, since it is smaller than the sum of its proper divisors (376979919360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106234867200 is a wasteful number, since it uses less digits than its factorization.

106234867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 106234867200 in words is "one hundred six billion, two hundred thirty-four million, eight hundred sixty-seven thousand, two hundred".